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A 60-minute show about tea. Recommended for night activity (starts 19:30). Hundreds of actors, beautiful lightshow, audience turns 360 degrees for different views. Awesome mountain-view in the dark. Produced by 3 famous Chinese artists (Zhang Yimou) and a franchise of theater shows around China (Haikou, Lijiang, Hangzhou). Just south of the resort area within walking distance for most resorts. You can book tickets from the hotel and maybe even get a discount that way.
九曲溪
There are really nice places along this river, most commonly viewed from a bamboo raft leaving from the West Entrance (takes 90-100 minutes, a few minor rapids that could splash your feet). Don't miss the lookout rock between Wuyi Palace and Shuiguangshi (the last area of the rafting), that is probably the best view in the area. A bit past Tianyou peak, the rafts pass a cliff with small caves that were used for burials in ancient times, and some wood and stone from that time are still visible. One of the raft drivers will try to sell a running commentary of jokes and a description of the sights in Chinese, for ¥20-30 per person. At the entrance, people will try to sell you snacks, fish feed, and plastic bags to cover your shoes.
It is also worthwhile to climb some peaks for a good lookout to other bends so just doing the rafting tour is not enough to enjoy the entire area. A good trail follows the north bank between the West Entrance and Tianyou Peak (~4 km), but spends much of its time in the forest and doesn't offer the views that the raft does.
水帘洞
A waterfall (not really any cave) with a small old shrine behind it and a massive rock. Reachable from its bus stop by walking 20-30 min on a road to the base and then 5-10 min up to the waterfall. You can walk a small loop and end up back at the main path to continue to the tea valleys (towards Da Hong Pao and Tianxin Yongle Temple) or just return to the bus station.
Halfway between Water Curtain Cave and Da Hong Pao Valley. A nicely-shaped rock but you can only walk past it within the valleys and no climbing is possible.
武夷古崖居遗构
Ancient wooden buildings built into an inaccessible crack in the cliff, once accessed via a pulley system. Can be seen from the trail but not visited.
大红袍, literally "Big Red Robe"
This magical and enchanted valley produces the best and most expensive tea on Wuyi Mountain and is a tranquil and beautiful place. The tourist stop is not the best place to see anything but walking from here to the Water Curtain Cave goes through tea valleys and past the Eagle Beak Mountain, through some of the best places to see in the northern area. The main area has a tea shop that has cheap tea in bowls, tea eggs, and very expensive tea for sale.
天游峰, literally "Heavenly Tour Peak"
Big stone peak with breathtaking views on the nine-bend river and surrounding peaks. You can only climb one peak these days unless you want to climb over the "do not cross" signs like some tourists do (no-one will stop you), or look for small poorly-maintained trails running into the forest. The main peak can be really crowded and gets a little steep towards the end. You can have a little rest at the top (extortionately overpriced snacks and souvenirs) and return via an easier route at the back for 1.5 km. The Peach Blossom Cave and its temple are also 1.5 km away but unless you are prepared for a long hike you will have to return along the river to the same bus stop.